λ
Harmonic Matrix

8,217,739

23 × 357293
Deficient Odd Composite

8,217,739 has digital root 1. The neighboring primes are 8217721 and 8217757; its proper-divisor sum differs from the starting integer by -7,860,422.

Prime Factor Structure

Factorization String 23 × 357293
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,575,056
Proper Divisor Sum 357,317
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8217721 ← → #8217757

Radix Representation

Decimal 8217739
Binary 11111010110010010001011 (23 bits)
Octal 0o37262213
Hexadecimal 0x7D648B

Divisor Catalog (4)

1 23 357,293 8,217,739

Collatz Trajectory (168 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,217,739 24,653,218 12,326,609 36,979,828 18,489,914 9,244,957 27,734,872 13,867,436 6,933,718 3,466,859 10,400,578 5,200,289 15,600,868 7,800,434 3,900,217 11,700,652 5,850,326 2,925,163 8,775,490 4,387,745 13,163,236 6,581,618 3,290,809 9,872,428 4,936,214 2,468,107 7,404,322 3,702,161 11,106,484 5,553,242 2,776,621 8,329,864 4,164,932 2,082,466 1,041,233 3,123,700 1,561,850 780,925 2,342,776 1,171,388 585,694 292,847 878,542 439,271 1,317,814 658,907 1,976,722 988,361 2,965,084 1,482,542 741,271 2,223,814 1,111,907 3,335,722 1,667,861 5,003,584 2,501,792 1,250,896 625,448 312,724

More profiles

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